实现单分支连杆轨迹综合的长方体-牛顿混合算法

Cuboid-Newton mixed algorithm for realizing track synthesis of single branched connecting rod

针对用数值法求解铰链四杆机构实现预期轨迹所出现的平凡解及跳支解的情形,汲取求解非线性方程组的单纯形法搜寻全标号单纯形的基本思想,分析了在n维长方体上根的存在条件,建立了避免出现平凡解及跳支解的条件,构造了一个能通过极小化搜索方法获得有实用意义根的存在区域目标函数,从而建立了能有效求解此类综合问题的长方体-牛顿混合算法。

Aimed at the situations of trite-solution and ramified-solution arisen in realizing the expected locus for solving the hinged four-bar linkage with numerical method, and assimilating the basic thought of searching the all graded simplicity shapes in solving the nonlinear equation set with simplicity shape method, the existence conditions of roots on the n dimensioned euboid was analyzed. Conditions for avoiding the appearance of trite-solution and bifurcated-solution were established. An objective function for obtaining the existing region of roots that possessing practical significance by means of minimized searching method was constructed, thus the cuboid-Newton mixed algorithm that could effectively solve this kind of synthetic problems was established.